24 April 2025 5 9K Report

Within the framework of modern physics, the relationship between space-time and matter is elucidated through the two pillar theories of general relativity and quantum mechanics.General relativity tells us that mass and energy change the geometry of spacetime, which follows the Einstein field equation \( G_{\mu\nu} = 8\pi G T_{\mu\nu} \), and that spacetime exhibits a classical continuum structure at both macroscopic and microscopic scales .The energy-momentum rise and fall of matter fields, such as photons, electrons, etc., which follow the laws of quantum mechanics, are fed back into the geometry of spacetime through Einstein's equations.

在现代物理学的框架下,时空与物质的关系通过广义相对论和量子力学两大支柱理论得以阐释。广义相对论告诉我们,质量和能量会改变时空的几何形状,其遵循爱因斯坦场方程 \( G_{\mu\nu} = 8\pi G T_{\mu\nu} \),在宏观和微观尺度下,时空都呈现为经典的连续结构 。而物质场,如光子、电子等,遵循量子力学的规律,其能量 - 动量涨落又会通过爱因斯坦方程反馈到时空几何之中。

When we attempt to measure the state of microscopic particles, we inevitably introduce measurement behaviour.For example, if a photon is used to probe a particle, the energy carried by the photon in this process creates a localised high-energy matter field, which in turn significantly perturbs the spatio-temporal gauge in which the measurement object is embedded, generating unavoidable uncertainty.From the perspective of quantum mechanics, the Heisenberg Uncertainty Principle specifies the position-momentum uncertainty relation \( \Delta x_{\text{QM}} \Delta p \geq \hbar/2 \) inherent in a quantum system; and from the perspective of general relativity, the photon energy \( E_{\text{photon}} = \hbar c / \lambda \) will introduce additional positional rise and fall \( \Delta x_{\text{GR}} \sim \frac{G E_{\text{photon}}}{c^4} \cdot \lambda \sim \frac{\ell_P^2}{\lambda} \) through spacetime bending, where \( \ell_P = \sqrt{\hbar G/c^3} \) is the Planck length.The final total uncertainty is a composite of the two, i.e. \( \Delta x_{\text{total}} = \sqrt{ (\Delta x_{\text{QM}})^2 + (\Delta x_{\text{GR}}})^2 }\).

当我们试图测量微观粒子的状态时,必然会引入测量行为。例如使用一个光子去探测粒子,这个过程中,光子所携带的能量会形成局域的高能物质场,进而显著扰动测量对象所处的时空度规,产生不可避免的不确定性。从量子力学的角度,海森堡不确定性原理规定了量子系统固有的位置 - 动量不确定性关系 \( \Delta x_{\text{QM}} \Delta p \geq \hbar/2 \);而从广义相对论出发,光子能量 \( E_{\text{photon}} = \hbar c / \lambda \) 会通过时空弯曲引入附加的位置涨落 \( \Delta x_{\text{GR}} \sim \frac{G E_{\text{photon}}}{c^4} \cdot \lambda \sim \frac{\ell_P^2}{\lambda} \),其中 \( \ell_P = \sqrt{\hbar G/c^3} \) 为普朗克长度。最终的总不确定度是两者的合成,即 \( \Delta x_{\text{total}} = \sqrt{ (\Delta x_{\text{QM}})^2 + (\Delta x_{\text{GR}})^2 } \) 。

In order to measure to obtain a more precise position of an object, shorter wavelengths of light are often used.As the photon wavelength becomes shorter, while the uncertainty in the position of matter as specified by the Heisenberg uncertainty principle decreases, the photon energy increases and the geometric uncertainty in space-time that it induces rises.When the photon-induced uncertainty in the position of an object increases to a Planck scale, it reaches the upper limit of our measurement capability.For example, to measure the size of a piece of space, the wavelength of the photon used needs to be smaller than that space scale, whereas in measuring a space of Planck scale size, the photon wavelength will not be smaller than the Planck length, which makes the uncertainty due to the direct measurement of the photon to be at least one Planck length, as well as in the geometry of the spacetime to be at least one Planck length.At this point, the uncertainty specified by the uncertainty principle is equivalent to the uncertainty due to photon energy.

为了测量得到物体更精确的位置,往往会使用更短波长的光。当光子波长变短,虽然海森堡不确定性原理规定的物质位置的不确定度下降了,但光子能量增大,其引发的时空几何不确定度却会上升。当光子引起的物体位置的不确定度增大到一个普朗克尺度时,就达到了我们测量能力的上限。例如测量一块空间的大小,所用光子波长需小于该空间尺度,而在测量普朗克尺度大小的空间时,光子波长不会比普朗克长度更小,这使得光子直接测量带来的不确定度至少是一个普朗克长度,同时在时空几何上的不确定度也至少为一个普朗克长度。此时,不确定性原理所规定的不确定度与光子能量所造成的不确定度是等效的。

At the Planck scale, we can combine quantum mechanics and general relativity to describe the geometric reconfiguration of spacetime at the tiniest level.It is important to be clear that the uncertainty principle is an inherent property of the quantum world, independent of the act of measurement, and that there is an uncertainty relation between the position and momentum of a particle, whether or not a measurement is made.Similarly, at the Planck length, the uncertainty in the structure of spacetime brought about by the spacetime distortion induced by the energy of the photon does not depend on measurement, but is the result of the interaction of the matter field with spacetime.

在普朗克尺度上,我们可以结合量子力学和广义相对论来描述时空的几何重构在最微小层面上的变化。需要明确的是,不确定性原理是量子世界的固有属性,与测量行为无关,无论是否进行测量,粒子的位置和动量都存在不确定性关系。同样,在普朗克长度上,光子能量所引起的时空扭曲带来的时空结构的不确定性,也不依赖于测量,而是物质场与时空相互作用的结果。

When a minimum length such as the Planck length exists in the gravitational world, an uncertainty in the structure of spacetime is naturally generated at the tiniest scales.This uncertainty drives spacetime to behave observationally discrete - as we look carefully at the structure of space, we find that the curvature of any point in space becomes increasingly uncertain, and the uncertainty in the region of space encompasses all possible geometries.

当引力世界中存在普朗克长度这样一个最小长度时,在最微小的尺度上会自然生成一种时空结构的不确定性。这种不确定性会促使时空在观测上表现出离散化的特征——当我们细致观察空间结构时,会发现空间任意点的曲率变得越来越不确定,空间区域的不确定性包含了所有可能的几何结构。

Based on the above ideas, I propose the hypothesis that matter excites spacetime.Such excited states can be regarded as discretised manifestations of the spacetime metric field in the local domain, which itself has the background property of coordinates.The Uncertainty Principle does not superpose two different spacetime units, but directly or indirectly affects their states (excitation/de-excitation) .For example, the local spacetime gauge excited by a particle in a superposition state will correspondingly be in a state between excitation and de-excitation.Once the act of observation is carried out (interference using photons or other particles), this superposition state is forced to collapse and the observer obtains a determinate state, but this does not mean that the uncertainty disappears completely, but continues to exist in the physical system in another form.

基于上述思想,我提出物质激发时空的假设。这种激发态可看作是时空度规场在局域的离散化表现,其本身具有坐标的背景属性。不确定性原理不会使两个不同的时空单元叠加,而是直接或间接影响其状态(激发/退激发) 。例如,处于叠加态的粒子所激发的局域时空度规,会对应地处于激发与退激发之间的状态。一旦进行观测行为(使用光子或其它粒子进行干涉),会迫使这种叠加状态塌缩,观测者获得一个确定的状态,但这并不意味着不确定性的完全消失,而是以另一种形式继续存在于物理系统之中。

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